Atkin-Lehner |
3+ 7+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
71757a |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-100962099 = -1 · 33 · 72 · 17 · 672 |
Discriminant |
Eigenvalues |
0 3+ 3 7+ 3 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,114,119] |
[a1,a2,a3,a4,a6] |
Generators |
[37:234:1] |
Generators of the group modulo torsion |
j |
6068404224/3739337 |
j-invariant |
L |
6.3764505681586 |
L(r)(E,1)/r! |
Ω |
1.1671428087466 |
Real period |
R |
0.68291242077156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71757c1 |
Quadratic twists by: -3 |